Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 89, 228, 808, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 228, 808, 942 is 1
GCD(89, 228, 808, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 228, 808, 942 is 1
GCD(89, 228, 808, 942) = 1
Given Input numbers are 89, 228, 808, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 89, 228, 808, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 228, 808, 942 is 1.
Therefore, GCD of numbers 89, 228, 808, 942 is 1
Given Input Data is 89, 228, 808, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 942 is 2 x 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(89, 228) = 20292
GCD(89, 228) = ( 89 x 228 ) / 20292
GCD(89, 228) = 20292 / 20292
GCD(89, 228) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 89, 228, 808, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 228, 808, 942?
GCD of 89, 228, 808, 942 is 1
2. Where do I get the detailed procedure to find GCD of 89, 228, 808, 942?
You can find a detailed procedure to find GCD of 89, 228, 808, 942 on our page.
3. How to find GCD of 89, 228, 808, 942 on a calculator?
You can find the GCD of 89, 228, 808, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.